کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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522871 | 867873 | 2007 | 23 صفحه PDF | دانلود رایگان |
This paper establishes a link between the stability of a first order, explicit discrete event integration scheme and the stability criteria for the explicit Euler method. The paper begins by constructing a time-varying linear system with bounded inputs that is equivalent to the first order discrete event integration scheme. The stability of the discrete event system is shown to result from the fact that it automatically adjusts its time advance to lie below the limit set by the explicit Euler stability criteria. Moreover, because it is not necessary to update all integrators at this rate, a significant performance advantage is possible. Our results confirm and explain previously reported studies where it is demonstrated that a reduced number of updates can provide a significant performance advantage compared to fixed step methods. These results also throw some light on stability requirements for discrete event simulation of spatially extended systems.
Journal: Journal of Computational Physics - Volume 227, Issue 1, 10 November 2007, Pages 797–819